Finding the Third Proportional to 166,688 and 359,436

Step by Step Solution

1. Step 1: Write the proportion equation
   166,688 : 359,436 = 359,436 : x
2. Step 2: Convert to fraction form
   166,688/359,436 = 359,436/x
3. Step 3: Cross multiply
   166,688x = 359,436 × 359,436
4. Step 4: Simplify right side
   166,688x = 129,194,238,096
5. Step 5: Solve for x
   x = 129,194,238,096/166,688
6. Step 6: Final answer
   x = 775,066.22